Geodesic
Group Structures and Rectifiability in Powers of Spaces
G. J. Ridderbos1
1 Faculty of Sciences Division of Mathematics Vrije Universiteit De Boelelaan 1081 A 1081 HV Amsterdam, the Netherlands
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 55 (2007) no. 4, pp. 357-363

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove that if some power of a space $X$ is rectifiable, then $X^{\pi w(X)}$ is rectifiable. It follows that no power of the Sorgenfrey line is a topological group and this answers a question of Arhangel'skiĭ. We also show that in Mal'tsev spaces of point-countable type, character and $\pi$-character coincide.
DOI : 10.4064/ba55-4-7
Keywords: prove power space rectifiable rectifiable follows power sorgenfrey line topological group answers question arhangelski maltsev spaces point countable type character pi character coincide

G. J. Ridderbos 1

1 Faculty of Sciences Division of Mathematics Vrije Universiteit De Boelelaan 1081 A 1081 HV Amsterdam, the Netherlands 
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G. J. Ridderbos. Group Structures and Rectifiability in Powers of Spaces. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 55 (2007) no. 4, pp. 357-363. doi: 10.4064/ba55-4-7

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